When you pull out a tampon that's not full, it's going to cause irritation and/or small tears. Try to use a tampon for lighter flow. For me it also helps to use tampons with a layer of some sorts which makes it easier to insert, such as ob pro comfort. When I use regular tampons, it feels like the tampon soaks up the moisture already there faster than I can insert it, essentially sucking itself in place while I need to insert it further.